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Finding the Fourth Proportional to 25,731.38, 38,591.66 and 7,259.06

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Solution

The fourth proportional to 25,731.38, 38,591.66 and 7,259.06 is: 10,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731.38 : 38,591.66 = 7,259.06 : x
  2. Step 2: Convert to fraction form
    25,731.38/38,591.66 = 7,259.06/x
  3. Step 3: Cross multiply
    25,731.38x = 38,591.66 × 7,259.06
  4. Step 4: Simplify right side
    25,731.38x = 280,139,290.07
  5. Step 5: Solve for x
    x = 280,139,290.07/25,731.38
  6. Step 6: Final answer
    x = 10,887.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.